22401011024 has 80 divisors (see below), whose sum is σ = 51400936320. Its totient is φ = 9253440000.

The previous prime is 22401010999. The next prime is 22401011033. The reversal of 22401011024 is 42011010422.

It is a junction number, because it is equal to n+sod(n) for n = 22401010993 and 22401011011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1985399 + ... + 1996649.

It is an arithmetic number, because the mean of its divisors is an integer number (642511704).

Almost surely, 2^22401011024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22401011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25700468160).

22401011024 is an abundant number, since it is smaller than the sum of its proper divisors (28999925296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22401011024 is a wasteful number, since it uses less digits than its factorization.

22401011024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11908 (or 11902 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22401011024 its reverse (42011010422), we get a palindrome (64412021446).

The spelling of 22401011024 in words is "twenty-two billion, four hundred one million, eleven thousand, twenty-four".